Question

There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work?

Answer 1

See explanation below

Explanation:

"Percent" or "%" means "out of 100" or "per 100",

Therefore we can write this problem as:

`29/36 = x/100`

Where x is the percent of carpenters who showed up:

We can solve this for `x`:

`color(red)(100) xx 29/36 = color(red)(100) xx x/100`

`2900/36 = cancel(color(red)(100)) xx x/color(red)(cancel(color(black)(100)))`

`2900/36 = x`

`80.6 = x`

or

`x = 80.6`

Or 80.6% of the carpenters showed up for work (rounded to the nearest tenth of a percent)

Answer 2

`80.6%` were present

Explanation:

To calculate a percent that one quantity is of another you can use the method:

`"fraction" xx 100%`

`29/36 xx 100%`

`=80.6%`